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Finding the Fourth Proportional to 399.98, 551.53 and 289.52

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Solution

The fourth proportional to 399.98, 551.53 and 289.52 is: 399.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.98 : 551.53 = 289.52 : x
  2. Step 2: Convert to fraction form
    399.98/551.53 = 289.52/x
  3. Step 3: Cross multiply
    399.98x = 551.53 × 289.52
  4. Step 4: Simplify right side
    399.98x = 159,675.48
  5. Step 5: Solve for x
    x = 159,675.48/399.98
  6. Step 6: Final answer
    x = 399.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.